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Simplifying (y2 + -3x) * dx + 2xy * dy = 0 Reorder the terms: (-3x + y2) * dx + 2xy * dy = 0 Reorder the terms for easier multiplication: dx(-3x + y2) + 2xy * dy = 0 (-3x * dx + y2 * dx) + 2xy * dy = 0 Reorder the terms: (dxy2 + -3dx2) + 2xy * dy = 0 (dxy2 + -3dx2) + 2xy * dy = 0 Multiply xy * dy dxy2 + -3dx2 + 2dxy2 = 0 Reorder the terms: dxy2 + 2dxy2 + -3dx2 = 0 Combine like terms: dxy2 + 2dxy2 = 3dxy2 3dxy2 + -3dx2 = 0 Solving 3dxy2 + -3dx2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3dx'. 3dx(y2 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y2 + -1x)' equal to zero and attempt to solve: Simplifying y2 + -1x = 0 Reorder the terms: -1x + y2 = 0 Solving -1x + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + y2 = 0 + x Combine like terms: -1x + x = 0 0 + y2 = 0 + x y2 = 0 + x Remove the zero: y2 = x Add '-1y2' to each side of the equation. y2 + -1y2 = x + -1y2 Combine like terms: y2 + -1y2 = 0 0 = x + -1y2 Simplifying 0 = x + -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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